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Finding the Fourth Proportional to 11,446.05, 15,797.07 and 6,410.55

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Solution

The fourth proportional to 11,446.05, 15,797.07 and 6,410.55 is: 8,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.05 : 15,797.07 = 6,410.55 : x
  2. Step 2: Convert to fraction form
    11,446.05/15,797.07 = 6,410.55/x
  3. Step 3: Cross multiply
    11,446.05x = 15,797.07 × 6,410.55
  4. Step 4: Simplify right side
    11,446.05x = 101,267,907.09
  5. Step 5: Solve for x
    x = 101,267,907.09/11,446.05
  6. Step 6: Final answer
    x = 8,847.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.